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Numerical analysis, testing and adaptive timestep considerations for filtered implicit methods

McGovern, Stephen Michael (2023) Numerical analysis, testing and adaptive timestep considerations for filtered implicit methods. Master's Thesis, University of Pittsburgh. (Unpublished)

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Pre- and post-filters can be added to many classic numerical methods to generate higher order methods with strong stability properties. In this paper we test and analyze two filtered Implicit Euler methods. The two methods are a natural embedded pair, so we also explore variable timestep using their difference as an error estimator at each step.


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Item Type: University of Pittsburgh ETD
Status: Unpublished
CreatorsEmailPitt UsernameORCID
McGovern, Stephen Michaelstm114@pitt.edustm114
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairLayton, Williamwjl@pitt.eduwjl
Committee MemberMichael, Neilanneilan@pitt.eduneilan
Committee MemberTrenchea, Catalintrenchea@pitt.edutrenchea
Date: 27 January 2023
Date Type: Publication
Defense Date: 6 December 2022
Approval Date: 27 January 2023
Submission Date: 8 December 2022
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Number of Pages: 70
Institution: University of Pittsburgh
Schools and Programs: Dietrich School of Arts and Sciences > Mathematics
Degree: MS - Master of Science
Thesis Type: Master's Thesis
Refereed: Yes
Uncontrolled Keywords: Implicit Methods, Numerical Analysis, Variable timestep, Adaptive, Adaptivity
Date Deposited: 27 Jan 2023 18:48
Last Modified: 27 Jan 2023 18:48


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